# Large Numbers

Level pending

Which of the following numbers is the largest?

$$\textbf{1})$$ $$2^{13500}$$

$$\textbf2)$$ $$3^{9000}$$

$$\textbf3)$$ $$5^{5500}$$

$$\textbf4)$$ $$10^{4000}$$

You can use the fact that $$\log_{10}2\approx0.301$$

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